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mathsux4real

  • 2 years ago

Please help :0 Find the term containing x^42 of (x^3-3)^16

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  1. satellite73
    • 2 years ago
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    well first we need \(\frac{42}{3}=14\) to know which term we want

  2. satellite73
    • 2 years ago
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    so it is either the 14th term or the second term depending on how you are counting. makes no difference. the term looks like \[\dbinom{16}{2}(x^3)^{14}(-3)^2\]

  3. satellite73
    • 2 years ago
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    \[\dbinom{16}{2}=\frac{16\times 15}{2}=8\times 15=120\] and \((-3)^2=9\) multiply to get your answer

  4. cookies
    • 2 years ago
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    wow my drawing really sucked.... oh well!!

  5. mathsux4real
    • 2 years ago
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    Thanks so much satellite73!

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